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The value of x is the length GH, which is determined as 6.

Value of x

The value of x is the length GH and can be calculated from Pythagoras theorem.

|OG|² = |OS|² + |SG|²

|OG|² = 9² + 12²

|OG|² =  225

|OG| = √225

|OG| = 15

x + H = |OG|

where;

  • H is radius of the circle = 9

x + 9 = 15

x = 15 - 9

x = 6

Learn more about Pythagoras theorem here: https://brainly.com/question/343682

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